6. During the spin-dry cycle of a washing machine, the motor slows from 95 rad/s
ID: 1497866 • Letter: 6
Question
6.During the spin-dry cycle of a washing machine, the motor slows from 95 rad/s to 30 rad/s while the turning the drum through an angle of 402 radians. What is the magnitude of the angular acceleration
6.During the spin-dry cycle of a washing machine, the motor slows from 95 rad/s to 30 rad/s while the turning the drum through an angle of 402 radians. What is the magnitude of the angular acceleration
6.During the spin-dry cycle of a washing machine, the motor slows from 95 rad/s to 30 rad/s while the turning the drum through an angle of 402 radians. What is the magnitude of the angular acceleration
Explanation / Answer
Let omega = w ; a = alpha ; A = angle .
From rotational kinematics :
( w) ( dw )= ( a) ( dA)
Assume constant a and integrate :
[w2^2 - w1^2 ]/ [ 2 ] = ( a ) ( A2 - A1 )
a = [ w2^2 - w1^2 ] / [ 2 ] [ A2 - A1 ]
a = [ ( 30 )^2 - ( 95 )^2 ] / [ 2 ] [ 402 ]
a = [ 900 - 9025 ] / [ 2 ][ 402 ]
a = - 10.10 rad per s^2
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